Find the equation of circle whose centre is the point `(1,- 3)` and touches the line `2x-y-4=0`

Find the equation of a circle whose centre is (2,-1) and touches the line x-y-6=0.

Find the equation of the Circle whose centre is at the point (4, 5) and which touches the x-axis. Also find the co-ordinates of the points at which the circle cuts the y-axis.

Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12 y-1=0.

Find the equation of the circle whose centre is at the point (4,5) and which passes through the centre of the circle x^2+y^2-6x+4y-12=0.

Find the equation of circle with centre (2, 3) and touching the line 3x - 4y + 1 = 0

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the circle passing through the point (2, 8), touching the lines 4x-3y-24=0 and 4x+3y-42=0 andhaving x-coordinate of the centre of the circle numerically less than or equal to 8.